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129973920 = 25352361193
BaseRepresentation
bin1111011111100…
…11111010100000
3100001120100200220
413233303322200
5231233131140
620521443040
73135521466
oct757637240
9301510626
10129973920
116740436a
1237640480
1320c0995b
1413394836
15b625bd0
hex7bf3ea0

129973920 has 192 divisors, whose sum is σ = 436472064. Its totient is φ = 32440320.

The previous prime is 129973919. The next prime is 129973931. The reversal of 129973920 is 29379921.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 673344 + ... + 673536.

It is an arithmetic number, because the mean of its divisors is an integer number (2273292).

Almost surely, 2129973920 is an apocalyptic number.

129973920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129973920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218236032).

129973920 is an abundant number, since it is smaller than the sum of its proper divisors (306498144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

129973920 is a wasteful number, since it uses less digits than its factorization.

129973920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 42.

The square root of 129973920 is about 11400.6105099683. The cubic root of 129973920 is about 506.5458237506.

The spelling of 129973920 in words is "one hundred twenty-nine million, nine hundred seventy-three thousand, nine hundred twenty".